I think all MI themes should be a completely new take on the theme that is reflective of the mood of the game.
If MI1's theme was just the sort of basic naive version of it, simple arrangement but adventurous melody
MI2 version is a little bit cynical, it's funked itself up a little in a bid to stay relevant, is a little bit busy and chaotic in parts, and added a layer of glitz that feels at home with where guybrush's attitude is at the start of the game.
CMI is closer to MI1's but much more ambitious in its arrangement, but that matches how the tone and structure of that game is closer to 1, but the production values have skyrocketed.
So, EMI's theme I thing should have been closer to 2's again - everything with a layer of glamour over it, to reflect the changing state of the islands, and the influence of outside forces. Hearing the CMI theme in EMI again was one of the biggest let downs of it to me. And the worst part is that it keeps the abrupt ending of that version without actually ... using that in the cutscene, like they do in CMI.
For me, there is NO definitive MI theme, the whole point is that they should be reflective of the game they're in. But if there were a definitive version, it couldn't possibly be CMI's because it's not even the whole thing - it doesn't have the end of the tune!
When I hear ReMI's theme, I want the version to tell me a little about what I can expect from this iteration.
(Also... I like Tales a lot, but the less said about that version of the theme, the better)